Answer:
109.27 ft²
Step-by-step explanation:
SA = face + face + curve
SA = 2πr² + 2πrw
= 2π(2.625)² + 2π(2.625)(4)
= ~43.3 + ~65.97 = 109.27 = SA
Quadrilateral A'B'C'D' Is the image of quadrilateral ABCD under a dilation.
What is the scale factor of the dilation?
Answer:
Scale factor = [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Formula for the dilation to be used,
Scale factor = [tex]\frac{\text{Dimension of the image}}{\text{Dimension of the original}}[/tex]
= [tex]\frac{A'B'}{AB}[/tex]
= [tex]\frac{1}{4}[/tex]
Therefore, scale factor by which quadrilateral ABCD has been dilated to form image quadrilateral A'B'C'D' is [tex]\frac{1}{4}[/tex].
a) In a simple random sample of 1000 faculty taken among all universities in a country, the number of papers published by the individual sampled faculty in the past year had a mean of 1.1 and an SD of 1.8. Does the Central Limit Theorem say that the distribution of the number of papers published by the individual sampled faculty in the past year is roughly normal
Answer:
According to the Central Limit theorem, the distribution is roughly normal
Step-by-step explanation:
The Central Limit Theorem states that for sample sizes above 30 and not withstanding population distribution's shape, the sampling distribution of the sample mean becomes more similar t hat of a normal distribution as the sample size increases;
The size of the sample = 1,000 >> 30
As the sample size approaches infinity, we have;
[tex]z=\dfrac{\bar{x}-\mu }{\dfrac{S.D.}{\sqrt{n}}}[/tex]
[tex]\overline x[/tex] = 1.5
S.D. = 1.8
n = 1000
Assume μ = 1, we get;
[tex]P(x > 1.1):z=\dfrac{1.1-1 }{\dfrac{1.8}{\sqrt{1000}}} = 1.7568[/tex]
P(z > 1.7568) = 1 - 0.96080 = 0.0392
Therefore, it is very likely that the mean of the population is not larger than the sample mean
Therefore, yes, the Central Limit Theorem say that the distribution of the number of papers published by the individual sampled faculty in the past year is roughly normal
Item 9
Find the surface area of the prism.
Answer: S = 2(lw + lh + wh)
Step-by-step explanation: Use this formula to find the total surface area of a prism.
PLS HELP (CLICK ON HERE TO SEE QUESTION)
Answer:
C
Step-by-step explanation:
the answer is C because the 2 angles are congruent, making it the same degree
hope this helps :)
Answer:
160
Step-by-step explanation:
y is the same shape and degree is 1 60 on the other side please mark brainliest
The difference of two numbers is 14.Twice the smaller is 6 more than the larger.Find the numbers.
GEOMETRY!!!! Will give brainliest
Label the diagram
with
x-axis y-axis origin quadrant I quadrant II quadrant III quadrant IV
A
B
C
D
A) y-axis
B) quad lll
C) x-axis
D) quad IV
Is this the answer you were looking for?
Tasha needs to eat no more than 1,800 calories per day. Each scoop of ice
cream contains 100 calories. How many scoops of ice cream can Tasha eat
for dessert tonight if she already consumed 1,450 calories today?
Answer:
3.5 or 3 1/2
Step-by-step explanation:
1,800-1,450=350
She has 350 calories left to consume 1,800 in total.
There are 3.5 100 calories in 300.
The awnser will be 3.5 or 3 1/2.
She can have 3 1/2 of ice cream.
Hope this helped and you understood :) :)
Answer:
3.5[3 1/2]
Step-by-step explanation:
100 go's into 1450 3 times to make 1750 witch leaves 50 left and that is half of 100
If the scale factor of Figure A to Figure B is 7:2 find the perimeter of Figure A.
Simplify:
Camilla goes to the super market and buys two apples. each apple is $1.75. Camilla has $5.00 left. write an expression to represents this problem. Don't forget to use a variable!
Answer:
[tex] \huge \boxed{ \boxed{t - 3.5 = 5}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:equationlet's solve:a apple costs 1.75
2 apple costs 1.75×2=3.5
let her total money be t
according to the question
t-3.5=5ik this is alot but please help me.
Answer:
help u in what please ask the question so we can anwser
Write the equation of a line that
passes through the point (0, 3)
with a slope of -3.
Answer:
y= -3x + 3
Step-by-step explanation:
the point given tells you the y-int
given that y=mx + b, you can plug in the values
y= -3x + 3
45,678 in unit form
TIMED TEST WILL GIVE BRAINLIEST
Answer: 12?
Step-by-step explanation:
Did I get this first question right?
Answer:
no
Step-by-step explanation:
the correct answer is 56.55 inches
Step-by-step explanation:
nope. radius = 1/2D so it's 9.
2. r= 14.5
3. d= 42
4. d = 26
PLEASE HELP ME OUTTT
If you add Natalie's age and Fred's age, the result is 44. If you add Fred's age to 4 times
Natalie's age, the result is 83. Write and solve a system of equations to find how old Fred and Natalie
are
Answer: 31, 13
Step-by-step explanation:
xy=80 solve log x- log y=1
Question: Solve for x and y in the equation.
xy=80 and log x - 2 log y =1
Answer:
x = 40, y = 2
Step-by-step explanation:
xy = 80.......................... Equation 1
logx-2logy = 1
logx-logy² = 1
Applying the laws of logarithm,
log(x/y²) = log10
x/y² = 10
x = 10y²......................... Equation 2
Substitute the value of x in therms of y equation 2 into equation 1
10y²(y) = 80
10y³ = 80
y³ = 8
y = [tex]\sqrt[3]{8}[/tex]
y = 2.
Substitute the value of y into equation 1
2x = 80
x = 80/2
x = 40
Therefore,
x = 40, y = 2
Danny reads for one half hour every day.
At the end of four weeks, how many hours has Danny read?
There are 7 days in a week.
1/2 hour x 7 days = 3 1/2 hours per week.
3 1/2 hours per week x 4 weeks = 14 hours
He read for a total of 14 hours
Answer:
14 hours
Step-by-step explanation:
half hour = 30 minutes
1 week = 7 days
30(minutes) x 7(days) = 210 minutes
210(minutes) x 4(weeks) = 840 minutes
Now we know how much time Danny has read (840 minutes), but we need to know what that is in hours.
840 minutes = how long Danny has read in minutes
60 minutes = hour
840(minutes) ÷ 60(minutes) = 14(hours)
(1.75)^2 in expanded form
Answer:
1.75 x 1.75
fillerfillerfiller
What is the probability that a randomly selected graduate has a job if he or she is attending college? Give your answer as
a decimal precise to two decimal places.
P=
What is the probability that a randomly selected graduate attends college if he or she has a job? Give your answer as a
decimal precise to two decimal places.
P-
Complete question :
Suppose that of the 300 seniors who graduated from Schwarzchild High School last spring, some have jobs, some are attending college, and some are doing both. The following Venn diagram shows the number of graduates in each category. What is the probability that a randomly selected graduate has a job if he or she is attending college? Give your answer as a decimal precise to two decimal places.
What is the probability that a randomly selected graduate attends college if he or she has a job? Give your answer as a decimal precise to two decimal places.
Answer:
0.56 ; 0.60
Step-by-step explanation:
From The attached Venn diagram :
C = attend college ; J = has a job
P(C) = (35+45)/300 = 80/300 = 8/30
P(J) = (30+45)/300 = 75/300 = 0.25
P(C n J) = 45 /300 = 0.15
1.)
P(J | C) = P(C n J) / P(C)
P(J | C) = 0.15 / (8/30)
P(J | C) = 0.5625 = 0.56
2.)
P(C | J) = P(C n J) / P(J)
P(C | J) = 0.15 / (0.25)
P(C | J) = 0.6 = 0.60
PLEASEEEEE HELPP
Patty purchased rose bushes and geraniums for her yard. Patty spent $206 on 14
rose bushes and 12 geraniums. The price of a geranium is $5 less than twice the
cost of a rose bush. What is the cost of one rose bush?
9514 1404 393
Answer:
$7
Step-by-step explanation:
Let r and g represent the costs of a rose bush and a geranium, respectively. The given relations are ...
14r +12g = 206
g = 2r -5
Using the second equation to substitute for g in the first equation, we have ...
14r +12(2r -5) = 206
38r -60 = 206
38r = 266
r = 266/38 = 7
The cost of one rose bush is $7.
Order the steps in which to solve this expression. The value should be last.
PLEASE HELPPP.
Answer:
Exponents, Multiplication, Division (from left to right), Addition, Subtraction (from left to right), value
Step-by-step explanation:
Choose the fraction that is NOT equivalent to 2/2?
A.1/1
B.2/1
C.3/3
D.4/4
Answer:
B 2/1
Step-by-step explanation:
2/2=1
3/3=1
4/4=1
and 2/1=2
PLEASE I NEED HELP CLICK ON THIS IMAGE
Answer:11
Step-by-step explanation:smart
lol plss we did this literally a week ago and I forgot how to do it
Answer:
okay so i believe its area (if its not ill comment the right answer) so you just do the height (12) times the length (12) giving you 144
Step-by-step explanation:
I need these 4 questions, they are 7th grade level so should be easy enough
what is the slope of the line !?!?!
Answer:
Slope is -2
Step-by-step explanation:
Please help!!!!!! I’ll mark Brainlyist!!!!!
Answer:
its 55
Step-by-step explanation:
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 113.49
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
A pizza pan is removed at 9:00 PM from an oven whose temperature is fixed at 450°F into a room that is a constant 70°F. After 5 minutes, the pizza pan is at 300°F.
(a) At what time is the temperature of the pan 125°F?
(b) Determine the time that needs to elapse before the pan is 150°.
(c) What do you notice about the temperature as time passes?
Answer:
A) It will get to a temperature of 125°F at 9:19 PM
B) It will get to a temperature of 150°F at 9:16 PM
C) as time passes temperature approaches the initial temperature of 450°F
Step-by-step explanation:
We are given;
Initial temperature; T_i = 450°F
Room temperature; T_r = 70°F
From Newton's law of cooling, temperature after time (t) is given as;
T(t) = T_r + (T_i - T_r)e^(-kt)
Where k is cooling rate and t is time after the initial temperature.
Now, we are told that After 5 minutes, the temperature is 300°F.
Thus;
300 = 70 + (450 - 70)e^(-5k)
300 - 70 = 380e^(-5k)
230/380 = e^(-5k)
e^(-5k) = 0.6053
-5k = In 0.6053
-5k = -0.502
k = 0.502/5
k = 0.1004 /min
A) Thus, at temperature of 125°F, we can find the time from;
125 = 70 + (450 - 70)e^(-0.1004t)
125 - 70 = 380e^(-0.1004t)
55/380 = e^(-0.1004t)
In (55/380) = -0.1004t
-0.1004t = -1.9328
t = 1.9328/0.1018
t ≈ 19 minutes
Thus, it will get to a temperature of 125°F at 9:19 PM
B) Thus, at temperature of 150°F, we can find the time from;
150 = 70 + (450 - 70)e^(-0.1004t)
150 - 70 = 380e^(-0.1004t)
80/380 = e^(-0.1004t)
In (80/380) = -0.1004t
-0.1004t = -1.5581
t = 1.5581/0.1004
t ≈ 16 minutes.
Thus, it will get to a temperature of 150°F at 9:16 PM
C) As time passes which means as it approaches to infinity, it means that e^(-kt) gets to 1.
Thus,we have;
T(t) = T_r + (T_i - T_r)
T_r will cancel out to give;
T(t) = T_i
Thus, as time passes temperature approaches the initial temperature of 450°F